Pith Number

pith:OW2ZGDLF

pith:2025:OW2ZGDLFV5WCYVOVQG3DZH7RX3

not attested not anchored not stored refs pending

Topological dynamics for the endograph metric I: Equivalences with other metrics

Antoni L\'opez-Mart\'inez

arxiv:2510.17990 v2 · 2025-10-20 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OW2ZGDLFV5WCYVOVQG3DZH7RX3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-13T01:17:49.014656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b5930d65af6c2c55d581b63c9ff1bece8f5bb140c676f9726b31b2e3717e45

Aliases

arxiv: 2510.17990 · arxiv_version: 2510.17990v2 · doi: 10.48550/arxiv.2510.17990 · pith_short_12: OW2ZGDLFV5WC · pith_short_16: OW2ZGDLFV5WCYVOV · pith_short_8: OW2ZGDLF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OW2ZGDLFV5WCYVOVQG3DZH7RX3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 75b5930d65af6c2c55d581b63c9ff1bece8f5bb140c676f9726b31b2e3717e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa9a0af3e8936fcb7f49970a4fbbc3a3eb3871277d4d223292487ceed238640",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-10-20T18:10:55Z",
    "title_canon_sha256": "bbc251ef7aae2fc03376bbec541c8a5a5cd3c903872f9be48dadef612de60196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.17990",
    "kind": "arxiv",
    "version": 2
  }
}